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Kruka [31]
2 years ago
6

Let's find 1/2 - 1/6. First, write the subtraction so the fractions have denominator . Then subtract. 1/2 - 1/6 = blank/6 - 1/6

blank/blank
Mathematics
1 answer:
SOVA2 [1]2 years ago
7 0

Step-by-step explanation:

1/2 - 1/6 = 3/6 - 1/6 = 2/6

Hope this helps!!!

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A company produces and sells 211,600 boxes of t-shirts each year. Each production run has a fixed cost of $400 and an additional
Illusion [34]

Answer:x=46

Step-by-step explanation:

Given

Company Produces and sells 211600 boxes of T-shirt each year

Fixed cost =$ 400

Additional cost = $ 3 per box

storage cost =$ 2

let x be the no of production run

therefore

Holding cost per year =holding\ cost\times average\ holding\ items=2\times \frac{211600}{2x}=\frac{211600}{x}

Yearly\ ordering\ cost=cost\ during\ each\ order\times number\ of\ order\ Placed\ per\ year

yearly ordering cost=400x+3\times \frac{211600}{x}

Total cost C(x)=\frac{211600}{x}+400x+3\times \frac{211600}{x}

differentiate C(x) w.r.t to x we get

\frac{\mathrm{d} C(x)}{\mathrm{d} x}=400-\frac{3\times 211600}{x^2}-\frac{1}{211600}

Put \frac{\mathrm{d} C(x)}{\mathrm{d} x}=0 to get max/min value

400-\frac{211600}{x^2}-\frac{3\times 211600}{x^2}=0

x^2=\frac{211600}{100}

x=\sqrt{2116}

x=46

therefore 46 runs must be performed

5 0
2 years ago
Peter Johnson, the CFO of Homer Industries, Inc is trying to determine the Weighted Cost of Capital (WACC) based on two differen
Rzqust [24]

Answer:

Scenario 1 has WACC of 7.93%

Scenario 2 has WACC of 10.33%

Step-by-step explanation:

WACC=Ke*E/V+Kp*P/V+Kd(after tax)*D/V

Ke is the cost of equity =13%

Kp is the cost of preferred stock=10%

Kd(after tax) is the cost of debt of 8% adjusted for tax as below:

Kd(after tax )=Kd(before tax)*(1-t)

t is the tax rate of 30% or 0.3

Kd(after tax)=8%*(1-0.3)=5.60%

E is equity value,which is $1.8 million under scenario 1 and $3.8 under scenario 2

P is the value of preferred stock which is $1.2 million and $2.2 million respectively

D is the value of debt which is $5 million and $2 million

V=total value of capital structure=$8 million in both cases.

Scenario 1 WACC

WACC=13%*1.8/8+10%*1.2/8+5.6%*5/8=7.93%

Scenario 2 WACC

WACC=13%*3.8/8+10%*2.2/8+5.6%*2/8=10.33%

7 0
2 years ago
It shipped traveled for a total of 85 miles over the course of five hours heading west the ship travels and average of 14 mph an
adoni [48]

complete question:

A ship traveled for a total of 85 miles over the course of 5 hours. Heading west, the ship traveled at an average speed of 14 miles per hour, and heading north, it traveled at an average speed of 19 miles per hour. For how many hours was the ship heading north?

Answer:

The ship heading north traveled for 3 hours

Step-by-step explanation:

A ship travels for a total of 85 miles over the course of 5 hours journey. The speed of the journey can be calculated below.

speed = distance/time

total distance = 85

total time = 5 hours

speed = 85/5

speed = 17  miles/hr

West direction

Heading west the ship traveled at an average speed of 14 miles per hour. The speed can be represented for this journey as follows.

speed = distance/time

14 = dist/time

let

a = time traveled west

distance = 14a

North direction

speed = dist/time

19 = dist/time

time travel north = 5 - a

distance = 19(5 - a)

distance = 95 - 19a

Total distance traveled = 85 miles

85 = 14a + 95 - 19a

85 = -5a + 95

-10 = -5a

a = -10/-5

a = 2

The ship heading north will travel for 5 - 2 = 3 hours

5 0
2 years ago
Read 2 more answers
Robert Bought new carpet for his living room. The store charged a flat rate of $300.00 to remove the old carpet And install the
Alexeev081 [22]

Answer:

1259.76 square feet.

Step-by-step explanation:

Sorry, I don't know how to explain, I just automatically knew the answer. Hope it helps!

6 0
2 years ago
Read 2 more answers
Help me please fvfbvtne d f vrgvbv​
Ivenika [448]

Answer:

<h2>Height (h) =54.6mm</h2>

Step-by-step explanation:

Given :

Base (b) = 7.7mm

Area (a) = 210.21mm^2

Height (h) = ?

Area = \frac{base\times height}{2} \\\\210.21= \frac{7.7\times h}{2} \\\\210.21\times2 = 7.7\times h\\\\420.42 = 7.7 h\\\\\frac{420.42}{7.7}=\frac{7.7h}{7.7}\\\\54.6 =h\\\\h=54.6

8 0
2 years ago
Read 2 more answers
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